Basic abstract algebra /:
This book represents a complete course in abstract algebra, providing instructors with flexibility in the selection of topics to be taught in individual classes. All the topics presented are discussed in a direct and detailed manner. Throughout the text, complete proofs have been given for all theor...
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| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
1994.
|
| Ausgabe: | 2nd ed. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book represents a complete course in abstract algebra, providing instructors with flexibility in the selection of topics to be taught in individual classes. All the topics presented are discussed in a direct and detailed manner. Throughout the text, complete proofs have been given for all theorems without glossing over significant details or leaving important theorems as exercises. The book contains many examples fully worked out and a variety of problems for practice and challenge. Solutions to the odd-numbered problems are provided at the end of the book. This new edition contains an introduction to lattices, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Lasker-Noether theorem. In addition, there are over 100 new problems and examples, particularly aimed at relating abstract concepts to concrete situations. |
| Beschreibung: | 1 online resource (xx, 487 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (page 476) and index. |
| ISBN: | 9781139174237 1139174231 9781139648653 1139648659 |
Internformat
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| 245 | 1 | 0 | |a Basic abstract algebra / |c P.B. Bhattacharya, S.K. Jain, S.R. Nagpaul. |
| 250 | |a 2nd ed. | ||
| 264 | 1 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1994. | |
| 264 | 4 | |c ©1994 | |
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| 505 | 0 | |a pt. I. Preliminaries -- Sets and mappings -- Integers, real numbers, and complex numbers -- Matrices and determinants -- pt. II. Groups -- Groups -- Normal subgroups -- Normal series -- Permutation groups -- Structure theorems of groups -- pt. III. Rings and modules -- Rings -- Ideals and homomorphisms -- Unique factorization domains and euclidean domains -- Rings of fractions -- Integers -- Modules and vector spaces -- pt. IV. Field theory -- Algebraic extensions of fields -- Normal and separable extensions -- Galois theory -- Applications of Galios theory to classical problems -- pt. V. Additional topics -- Noetherian and Artinian modules and rings -- Smith normal form over a PID and rank -- Finitely generated modules over a PID -- Tensor products. | |
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| 700 | 1 | |a Nagpaul, S. R., |e author. | |
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| _version_ | 1816882215370358784 |
| adam_text | |
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| author | Bhattacharya, P. B. (Phani Bhushan), 1914- Jain, S. K. (Surender Kumar), 1938- Nagpaul, S. R. |
| author_facet | Bhattacharya, P. B. (Phani Bhushan), 1914- Jain, S. K. (Surender Kumar), 1938- Nagpaul, S. R. |
| author_role | aut aut aut |
| author_sort | Bhattacharya, P. B. 1914- |
| author_variant | p b b pb pbb s k j sk skj s r n sr srn |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA162 |
| callnumber-raw | QA162 .B46 1994eb |
| callnumber-search | QA162 .B46 1994eb |
| callnumber-sort | QA 3162 B46 41994EB |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 200 |
| classification_tum | MAT 110f |
| collection | ZDB-4-EBA |
| contents | pt. I. Preliminaries -- Sets and mappings -- Integers, real numbers, and complex numbers -- Matrices and determinants -- pt. II. Groups -- Groups -- Normal subgroups -- Normal series -- Permutation groups -- Structure theorems of groups -- pt. III. Rings and modules -- Rings -- Ideals and homomorphisms -- Unique factorization domains and euclidean domains -- Rings of fractions -- Integers -- Modules and vector spaces -- pt. IV. Field theory -- Algebraic extensions of fields -- Normal and separable extensions -- Galois theory -- Applications of Galios theory to classical problems -- pt. V. Additional topics -- Noetherian and Artinian modules and rings -- Smith normal form over a PID and rank -- Finitely generated modules over a PID -- Tensor products. |
| ctrlnum | (OCoLC)818850797 |
| dewey-full | 512/.02 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.02 |
| dewey-search | 512/.02 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2nd ed. |
| format | Electronic eBook |
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| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:04Z |
| institution | BVB |
| isbn | 9781139174237 1139174231 9781139648653 1139648659 |
| language | English |
| oclc_num | 818850797 |
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| spelling | Bhattacharya, P. B. (Phani Bhushan), 1914- author. https://id.oclc.org/worldcat/entity/E39PCjBFdDymdDqQKK8MJRcRYX Basic abstract algebra / P.B. Bhattacharya, S.K. Jain, S.R. Nagpaul. 2nd ed. Cambridge ; New York : Cambridge University Press, 1994. ©1994 1 online resource (xx, 487 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (page 476) and index. This book represents a complete course in abstract algebra, providing instructors with flexibility in the selection of topics to be taught in individual classes. All the topics presented are discussed in a direct and detailed manner. Throughout the text, complete proofs have been given for all theorems without glossing over significant details or leaving important theorems as exercises. The book contains many examples fully worked out and a variety of problems for practice and challenge. Solutions to the odd-numbered problems are provided at the end of the book. This new edition contains an introduction to lattices, a new chapter on tensor products and a discussion of the new (1993) approach to the celebrated Lasker-Noether theorem. In addition, there are over 100 new problems and examples, particularly aimed at relating abstract concepts to concrete situations. pt. I. Preliminaries -- Sets and mappings -- Integers, real numbers, and complex numbers -- Matrices and determinants -- pt. II. Groups -- Groups -- Normal subgroups -- Normal series -- Permutation groups -- Structure theorems of groups -- pt. III. Rings and modules -- Rings -- Ideals and homomorphisms -- Unique factorization domains and euclidean domains -- Rings of fractions -- Integers -- Modules and vector spaces -- pt. IV. Field theory -- Algebraic extensions of fields -- Normal and separable extensions -- Galois theory -- Applications of Galios theory to classical problems -- pt. V. Additional topics -- Noetherian and Artinian modules and rings -- Smith normal form over a PID and rank -- Finitely generated modules over a PID -- Tensor products. Print version record. Algebra, Abstract. http://id.loc.gov/authorities/subjects/sh85003428 Algèbre abstraite. MATHEMATICS Algebra Abstract. bisacsh Algebra, Abstract fast Algebra gnd Jain, S. K. (Surender Kumar), 1938- author. https://id.oclc.org/worldcat/entity/E39PCjByvMm3FYYRf4BmfBBc6C Nagpaul, S. R., author. Print version: Bhattacharya, P.B. (Phani Bhushan), 1914- Basic abstract algebra. 2nd ed. Cambridge ; New York : Cambridge University Press, ©1994 0521460816 (DLC) 93037548 (OCoLC)28965830 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=511001 Volltext |
| spellingShingle | Bhattacharya, P. B. (Phani Bhushan), 1914- Jain, S. K. (Surender Kumar), 1938- Nagpaul, S. R. Basic abstract algebra / pt. I. Preliminaries -- Sets and mappings -- Integers, real numbers, and complex numbers -- Matrices and determinants -- pt. II. Groups -- Groups -- Normal subgroups -- Normal series -- Permutation groups -- Structure theorems of groups -- pt. III. Rings and modules -- Rings -- Ideals and homomorphisms -- Unique factorization domains and euclidean domains -- Rings of fractions -- Integers -- Modules and vector spaces -- pt. IV. Field theory -- Algebraic extensions of fields -- Normal and separable extensions -- Galois theory -- Applications of Galios theory to classical problems -- pt. V. Additional topics -- Noetherian and Artinian modules and rings -- Smith normal form over a PID and rank -- Finitely generated modules over a PID -- Tensor products. Algebra, Abstract. http://id.loc.gov/authorities/subjects/sh85003428 Algèbre abstraite. MATHEMATICS Algebra Abstract. bisacsh Algebra, Abstract fast Algebra gnd |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85003428 |
| title | Basic abstract algebra / |
| title_auth | Basic abstract algebra / |
| title_exact_search | Basic abstract algebra / |
| title_full | Basic abstract algebra / P.B. Bhattacharya, S.K. Jain, S.R. Nagpaul. |
| title_fullStr | Basic abstract algebra / P.B. Bhattacharya, S.K. Jain, S.R. Nagpaul. |
| title_full_unstemmed | Basic abstract algebra / P.B. Bhattacharya, S.K. Jain, S.R. Nagpaul. |
| title_short | Basic abstract algebra / |
| title_sort | basic abstract algebra |
| topic | Algebra, Abstract. http://id.loc.gov/authorities/subjects/sh85003428 Algèbre abstraite. MATHEMATICS Algebra Abstract. bisacsh Algebra, Abstract fast Algebra gnd |
| topic_facet | Algebra, Abstract. Algèbre abstraite. MATHEMATICS Algebra Abstract. Algebra, Abstract Algebra |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=511001 |
| work_keys_str_mv | AT bhattacharyapb basicabstractalgebra AT jainsk basicabstractalgebra AT nagpaulsr basicabstractalgebra |